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232742916 = 22337319931
BaseRepresentation
bin11011101111101…
…10000000000100
3121012221120021000
431313312000010
5434040233131
635032253300
75524165530
oct1567660004
9535846230
10232742916
1110a41721a
1265b41230
13392ac903
1422ca6bc0
1515675ce6
hexddf6004

232742916 has 96 divisors (see below), whose sum is σ = 711925760. Its totient is φ = 64346400.

The previous prime is 232742891. The next prime is 232742929. The reversal of 232742916 is 619247232.

232742916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18471 + ... + 28401.

Almost surely, 2232742916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232742916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355962880).

232742916 is an abundant number, since it is smaller than the sum of its proper divisors (479182844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232742916 is a wasteful number, since it uses less digits than its factorization.

232742916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9982 (or 9974 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 232742916 is about 15255.9141319031. The cubic root of 232742916 is about 615.1185494250.

The spelling of 232742916 in words is "two hundred thirty-two million, seven hundred forty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 9931 11718 19862 23436 29793 39724 59586 69517 89379 119172 139034 178758 208551 268137 278068 307861 357516 417102 536274 615722 625653 834204 923583 1072548 1231444 1251306 1847166 1876959 2155027 2502612 2770749 3694332 3753918 4310054 5541498 6465081 7507836 8312247 8620108 11082996 12930162 16624494 19395243 25860324 33248988 38790486 58185729 77580972 116371458 232742916